Gas and diets

My son his been a great baby, he doesn't complain when my daughter is constantly toughing him with her face a millimeter away from his, he's pretty easy going and he's a great eater and sleeper. His only issue has been gas. The poor guy tenses up so badly that if he had better balance, he could stand on his own!
Right from the get go I had eliminated dairy and after a few weeks of constant night time pterodactyl screams and frantic crying, I decided to eliminate eggs too, and a couple more says after that wheat...
This has opened my eyes to an entirely new world! I feel so much more for the people with in tolerances and allergies! Especially egg allergies because every gluten free dairy free bread in a regular old grocery store seems to have eggs. :(
We bake a lot in this family and I have purchased coconut flour as well as some other okay to eat foods. I tried to make pancakes with our new ingredients and they turned out terrible but if I stopped something every time I screwed it up I would do nothing all day!
I have just begun this food journey and am anxious to see if it helps Lincoln. Online I read it will take two weeks for any diet changes to get through our systems but I have also heard it could take two months.
Let's hope it will work sooner if that is even the issue but I guess we won't know until we know!